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Complex absorbing potential method for systems
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
Dublin Institute of Technology. (School of Mathematical Sciences)
2010 (English)In: Dissertationes Mathematicae, ISSN 0012-3862, no 469, 5-+ p.Article in journal (Refereed) Published
Abstract [en]

The Complex Absorbing Potential (CAP) method is widely used to compute resonances in Quantum Chemistry, both for scalar valued and matrix valued Hamiltonians. In the semiclassical limit h -> 0 we consider resonances near the real axis and we establish the CAP method rigorously in an abstract matrix valued setting by proving that resonances are perturbed eigenvalues of the nonselfadjoint CAP Hamiltonian, and vice versa. The proof is based on pseudodifferential operator theory and microlocal analysis.

Place, publisher, year, edition, pages
2010. no 469, 5-+ p.
Keyword [en]
matrix valued pseudodifferential operators, nonselfadjoint operators, eigenvalues, perturbations, scattering, propagation of singularities
National Category
URN: urn:nbn:se:uu:diva-135746DOI: 10.4064/dm469-0-1ISI: 000280466600001OAI: oai:DiVA.org:uu-135746DiVA: diva2:375515
Available from: 2010-12-08 Created: 2010-12-08 Last updated: 2012-05-22Bibliographically approved

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Melgaard, Michael
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Analysis and Applied Mathematics

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